Abstract: By constructing a pseudo almost periodic solution sequence for a relevant difference equation, we investigated the existence and uniqueness of pseudo almost periodic solution of neutral delay differential equation with piece-wise constant arguments

Key words: pseudo almost periodic sequence, difference equation, piecewise constant argument, pseudo almost periodic solution, neutral delay differential equation

摘要： 通过构造二阶差分方程的伪概周期序列解，研究了带逐段常变量的中立型时滞微分方程d/dt(y(t)+py(t-1))=a₀ y([t])+a₁y([t-1])+F(t, y(t), y([t]))的伪概周期解的存在性及惟一性。

关键词: 伪概周期序列, 差分方程, 逐段常变量, 伪概周期解, 中立型时滞微分方程